Averaging in Cosmology

Details Averaging in Cosmology Averaging in Cosmology

1997-11-19

arxiv.org/abs/gr-qc/9711057v1

Phys.Rev. D57 (1998) 798-810

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, Latex, accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.57.798

In this paper we discuss the effect of local inhomogeneities on the global expansion of nearly FLRW universes, in a perturbative setting. We derive a generic linearized averaging operation for metric perturbations from basic assumptions, and we explicify the issue of gauge invariance. We derive a gauge invariant expression for the back-reaction of density inhomogeneities on the global expansion of perturbed FLRW spacetimes, in terms of observable quantities, and we calculate the effect quantitatively. Since we do not adopt a comoving gauge, our result incorporates the back-reaction on the metric due to scalar velocity and vorticity perturbations. The results are compared with the results by other authors in this field.

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